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Arithmetic Aptitude :: Trigonometry

  1.  Cos²2θ =

  2. A.

    1 - sinθ

    B.

    1 - sin²2θ

    C.

    1 + sin²θ

    D.

    1 - sin²θ


  3.  Csc²θ/2-cot²θ/2 =

  4. A.

    0

    B.

    -1

    C.

    1

    D.

    sec²2θ


  5.  Sec²θ-tan²θ =

  6. A.

    0

    B.

    -1

    C.

    1

    D.

    sec²2θ


  7.  1 + cot²2θ =

  8. A.

    sec²θ

    B.

    csc²θ

    C.

    csc²2θ

    D.

    sec²2θ


  9.  Csc 520° is equal to:

  10. A.

    csc 20°

    B.

    cos 20°

    C.

    sin 20°

    D.

    tan 45°


  11.  Solve for the θ in the following equation: Sin 2θ = cos θ

  12. A.

    15°

    B.

    30°

    C.

    45°

    D.

    60°


  13.  If sin 3A = cos 6B, the

  14. A.

    A + B = 0°

    B.

    A + 2B = 30°

    C.

    A + B = 180°

    D.

    None of these


  15.  Solve for x, if tan 3x = 5 tan x

  16. A.

    15.705°

    B.

    20.705°

    C.

    30.705°

    D.

    35.705°


  17.  If sin x cos x + sin 2x = 1, what are the values of x?

  18. A.

    20.90°, 69.1°

    B.

    -20.67°, 69.3°

    C.

    32.2°, 69.3°

    D.

    -32.2°, 69.3°


  19.  Solve for G if csc (11G – 16 degrees) = sec (5G + 26 degrees)

  20. A.

    4 degrees

    B.

    5 degrees

    C.

    6 degrees

    D.

    7 degrees